Pith Number

pith:XTA6PFFX

pith:2026:XTA6PFFXK7BMBTXFFCO3QEUVVO

not attested not anchored not stored refs pending

Multi-point functions of a full-plane two-state fuzzy $4$-Potts model

Hong-Bin Chen, Jiaming Xia

arxiv:2605.31374 v1 · 2026-05-29 · math.PR · cond-mat.stat-mech · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTA6PFFXK7BMBTXFFCO3QEUVVO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-01T02:04:01.642820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc1e794b757c2c0cee5289db81295ab8bf6f4698e049dbf854d8efaf86dd032

Aliases

arxiv: 2605.31374 · arxiv_version: 2605.31374v1 · doi: 10.48550/arxiv.2605.31374 · pith_short_12: XTA6PFFXK7BM · pith_short_16: XTA6PFFXK7BMBTXF · pith_short_8: XTA6PFFX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bcc1e794b757c2c0cee5289db81295ab8bf6f4698e049dbf854d8efaf86dd032

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172e3c38efdc71b6d9b51dc0a8aca032a177c4676062d98ea91cb8254bb36626",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-29T14:44:51Z",
    "title_canon_sha256": "4830bd8e57609b356dd5925604c00f2a93ae77ab74f99125e0ca6504d317dbf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31374",
    "kind": "arxiv",
    "version": 1
  }
}